25600881073152 has 704 divisors, whose sum is σ = 86906850324480. Its totient is φ = 6507272601600.

The previous prime is 25600881073127. The next prime is 25600881073237. The reversal of 25600881073152 is 25137018800652.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-2 number, since 2×25600881073152² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3168029752 + ... + 3168037832.

Almost surely, 2^{25600881073152} is an apocalyptic number.

25600881073152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25600881073152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43453425162240).

25600881073152 is an abundant number, since it is smaller than the sum of its proper divisors (61305969251328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25600881073152 is a wasteful number, since it uses less digits than its factorization.

25600881073152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8408 (or 8390 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 25600881073152 in words is "twenty-five trillion, six hundred billion, eight hundred eighty-one million, seventy-three thousand, one hundred fifty-two".